Pith Number

pith:BYQBWOYT

pith:2016:BYQBWOYTJUQG6LH3RSVTVYMGI2

not attested not anchored not stored refs pending

Manifolds with conullity at most two as graph manifolds

Luis A. Florit, Wolfgang Ziller

arxiv:1611.06572 v5 · 2016-11-20 · math.DG · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYQBWOYTJUQG6LH3RSVTVYMGI2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:36:03.700553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e201b3b134d206f2cfb8cab3ae18646bbab03b72d8f46ea891840935f23bf5d

Aliases

arxiv: 1611.06572 · arxiv_version: 1611.06572v5 · doi: 10.48550/arxiv.1611.06572 · pith_short_12: BYQBWOYTJUQG · pith_short_16: BYQBWOYTJUQG6LH3 · pith_short_8: BYQBWOYT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BYQBWOYTJUQG6LH3RSVTVYMGI2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0e201b3b134d206f2cfb8cab3ae18646bbab03b72d8f46ea891840935f23bf5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98dd7acb2b02ff7f13e0fe613647e06f77d13c0888ef2d99d0c37b98075216a9",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-11-20T19:12:38Z",
    "title_canon_sha256": "ff9578581ae03381690756cc59c617c004f2ae58276c4a048c5b9d48141ef982"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06572",
    "kind": "arxiv",
    "version": 5
  }
}